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Finding the Fourth Proportional to 689.68, 949.80 and 634.96

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Solution

The fourth proportional to 689.68, 949.80 and 634.96 is: 874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 949.80 = 634.96 : x
  2. Step 2: Convert to fraction form
    689.68/949.80 = 634.96/x
  3. Step 3: Cross multiply
    689.68x = 949.80 × 634.96
  4. Step 4: Simplify right side
    689.68x = 603,085.01
  5. Step 5: Solve for x
    x = 603,085.01/689.68
  6. Step 6: Final answer
    x = 874.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.